   Chapter 9.CR, Problem 6CR Elementary Geometry For College St...

7th Edition
Alexander + 2 others
ISBN: 9781337614085

Solutions

Chapter
Section Elementary Geometry For College St...

7th Edition
Alexander + 2 others
ISBN: 9781337614085
Textbook Problem

The base of a right prism is a regular hexagon whose sides are 8cm in length. The height of the prism is 13 cm. Find the a) Lateral area b) total area c) volume.

To determine

(a)

To find:

The lateral area of the right prism of a regular hexagon.

Explanation

Formula used:

Lateral area L of any prism whose altitude has measure h and whose base has perimeter p is given by the formula,

L=ph

Given:

The base of a right prism is a regular hexagon whose sides are 8 cm in length. The height of the prism is 13 cm.

Calculation:

Let L=ph(1)

In this problem, we first find the perimeter of the right prism of a regular hexagon.

Right prism of a regular hexagon as shown in the above figure

To determine

(b)

To find:

The total area of the right prism of a regular hexagon.

To determine

(c)

To find:

The volume of the right prism of a regular hexagon.

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